Which of the following statements is/are correct?

(i) Gauss' law applies to any closed surface, regardless of shape or size.

(ii) We cannot distinguish between positive and negative flux depending on the direction of the electric flux lines.

(iii) The net electric flux leaving a surface will always be zero if there is a charge bound inside of it. 

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  1. Both (ii) and iii) 
  2. Only (ii)
  3. Both (i) and (iii) 
  4. Only (i)

Answer (Detailed Solution Below)

Option 4 : Only (i)
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Detailed Solution

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Explanation:

(i)-Gauss's law states that total electric flux out of a closed surface is equal to charge enclosed divided by permittivity. It does not depend on any shape and size.

Statement (i) is correct.

  • \(\oint E.ds=\frac{q}{\epsilon_0}\)

 

(ii)-Electric Flux-The total number of electric field lines passing a given area in a unit time is defined as the electric flux.

  • The flux is said to be positive when it leaves the closed surface. Positive electric flux is due to positive charge, lines of forces directed outwards.

 

  • The flux is said to be negative when it comes the closed surface. Negative electric flux is due to negative charge, lines of forces directed inwards.

 

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We can distinguish between positive and negative flux depending on the direction of the electric flux lines. So, the statement (ii) is incorrect.

(iii)-The net electric flux leaving a surface will not be zero if there is a charge bound inside of it. So, the statement (iii) is incorrect.

Hence, the correct answer is Option-4-Only (i).

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